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Simplifying 3x + -2x + -5 = 2x + 10 + -3 Reorder the terms: -5 + 3x + -2x = 2x + 10 + -3 Combine like terms: 3x + -2x = 1x -5 + 1x = 2x + 10 + -3 Reorder the terms: -5 + 1x = 10 + -3 + 2x Combine like terms: 10 + -3 = 7 -5 + 1x = 7 + 2x Solving -5 + 1x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 1x + -2x = 7 + 2x + -2x Combine like terms: 1x + -2x = -1x -5 + -1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -1x = 7 + 0 -5 + -1x = 7 Add '5' to each side of the equation. -5 + 5 + -1x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 7 + 5 -1x = 7 + 5 Combine like terms: 7 + 5 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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